Stretched Cartesian grids for solution of the incompressible Navier-Stokes equations. (English) Zbl 0980.76057
Two grid stretching functions on Cartesian grids are introduced and analysed for the numerical solution of incompressible Navier-Stokes equations in pressure-velocity formulation. One stretching function is particularly designed for Fourier method, while the other aims at central differences and a staggered distribution of variables. The influence of the stretching functions on the matrix of the discretized pressure equation is analysed, and limits of the stretching are computed. Both stretchings are tested in numerical examples.
Reviewer: Thomas Sonar (Braunschweig)
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76M22 | Spectral methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
grid stretching functions; Cartesian grids; incompressible Navier-Stokes equations; pressure-velocity formulation; Fourier method; central differencesReferences:
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